A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation

Bae Jae Hyeong; Park Won Gil<sup>*</sup>

doi:10.1155/2012/205160

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A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation

作者：Bae Jae Hyeong; Park Won Gil^*

来源：Abstract and Applied Analysis, 2012, 205160.

DOI：10.1155/2012/205160

摘要

We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its uniqueness. In the last section of this paper, we treat a fixed point approach to the stability of the Cauchy-Jensen functional equation.